A random variable X has the following distribution. X12345678P(X)… - Vidyadip

MCQ

A random variable $X$ has the following distribution.

$X$	1	2	3	4	5	6	7	8
$P(X)$	0.15	0.23	0.12	0.10	0.20	0.08	0.07	0.05

For the event $E=\{X$ is prime number $\}$, find $P(E)$.

A
0.87
✓
0.62
C
0.35
D
0.5

✓

Answer

Correct option: B.

0.62

(b) : $P(E)=P(X=2)+P(X=3)+P(X=5)+P(X=7)$
$=0.23+0.12+0.20+0.07=0.62$

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